Question

Simplify the following and write in exponential form.(i) (3^6 ÷ 3^8)^4 × 3^(-4)[^ means raise to power] (2)

Answer 1

$(3^{6} \div 3^{8})^4 \times 3^{-4}$

$= \Big(\frac{3^{6}}{3^{8}}\Big)^{4} \times \frac{1}{3^{4}}$

$= \Big(\frac{1}{3^{8-6}}\Big)^{4} \times \frac{1}{3^{4}}$

$\boxed{ \pink{ \frac{a^{m}}{a^{n}} = \frac{1}{a^{n-m}} }}$

$= \frac{1}{(3^{2})^{4}} \times \frac{1}{3^{4}}$

$= \frac{1}{3^{2\times 4 } \times 3^{4}}$

$= \frac{1}{3^{8+4}}$

$= \frac{1}{3^{12}}$

Therefore.,

$\red{(3^{6} \div 3^{8})^4 \times 3^{-4}}$

$\green { = \frac{1}{3^{12}}}$

•••♪

Answer 2

Answer:

Simplify the following and write in exponential form.(i) (3^6 ÷ 3^8)^4 × 3^(-4)[^ means raise to power] (2)

Step-by-step explanation:

1/3^12